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Finding the Fourth Proportional to 26,412.30, 39,616.48 and 9,764.55

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Solution

The fourth proportional to 26,412.30, 39,616.48 and 9,764.55 is: 14,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412.30 : 39,616.48 = 9,764.55 : x
  2. Step 2: Convert to fraction form
    26,412.30/39,616.48 = 9,764.55/x
  3. Step 3: Cross multiply
    26,412.30x = 39,616.48 × 9,764.55
  4. Step 4: Simplify right side
    26,412.30x = 386,837,099.78
  5. Step 5: Solve for x
    x = 386,837,099.78/26,412.30
  6. Step 6: Final answer
    x = 14,646.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.